Macapá is the capital of Amapá, and arguably the most deserted state capital of Brazil. As it sits north of the immensely wide mouth of the Amazon river, there are no highways leading out. Unless you count the road into French Guyana, that is.
Apart from buses, mototaxis are the cheapest means to transport. A mototaxi from the bus station to the centre costs approximately 7 - 10 BRL (c. 15 BRL in a taxi). From the centre to the Monument to the Equator a taxi should cost approximately 5 BRL.
There is a very good ice cream shop on the wharf near the Fort in the centre o town. At night there are many stalls along the sea front near the wharf that serve hamburgers, fried foods and regional fare.
Most mid-scale hotels give a straight 20-30% discount on posted prices.
Perhaps the only internet option on Sundays is inside the Mara Hotel at Rua São José just off the corner of Rua.